Systems and methods for fracture mapping via frequency-changing integrated chips
a technology of integrated chips and fracture mapping, which is applied in the field of systems and methods for detecting small fracture waves and mapping fractures via frequency-changing integrated chips, can solve the problems of limiting the effectiveness of these methods, limiting the sensitivity of the receiver, and difficult to accurately receive and detect small fracture waves
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[0069]The following examples are included to demonstrate particular aspects of the present disclosure. It should be appreciated by those of ordinary skill in the art that the methods described in the examples that follow merely represent illustrative embodiments of the disclosure. Those of ordinary skill in the art should, in light of the present disclosure, appreciate that many changes can be made in the specific embodiments described and still obtain a like or similar result without departing from the spirit and scope of the present disclosure.
[0070]As discussed further below, preliminary calculations / simulations demonstrate the feasibility of the proposed frequency-changing method.
[0071]Estimation of the Propagation Loss
[0072]Electromagnetic waves are attenuated in a dielectric material, due to the imaginary part of the complex permittivity. The complex permittivity of a material is frequency dependent, and can be formulated as:
∈=∈0(∈′r−j∈″eff)∈=∈0(∈′r−j∈″eff) (1)
where, ∈0=8.86×...
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